Journal of Physics A Mathematical and General

The Haldane - Shastry model and RTT relations

Zhou-Fei Wang, Mo‐Lin Ge, Kang Xue

Published Jul 21, 1997• 6 citations

Abstract

A new approach is presented to derive the Hamiltonian family of spin- Haldane - Shastry model based on the RTT relation and Yangian symmetry. We show that the first members of the Hamiltonian family are related to the quantum determinant of the transfer matrix T.

DOI: 10.1088/0305-4470/30/14/014

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Journal of Physics A Mathematical and General

The Haldane - Shastry model and RTT relations

Zhou-Fei Wang, Mo‐Lin Ge, Kang Xue

Published Jul 21, 1997• 6 citations

Publisher

Abstract

DOI: 10.1088/0305-4470/30/14/014

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arXiv:cond-mat/9411065Journal of Physics A Mathematical and GeneralApr 21, 199548 citations

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Cao, Junpeng, Peng cheng He, Yuzhu Jiang +1 more

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A unified treatment is developed for the XXX-Heisenberg model and a long-ranged interaction model (the $H_2$ in Haldane-Shastry model) from the point of view of shift operators (or raising and lowering operators), based on which the energy spectra of the spin-chain models are determined. Some physical discussions are also made.A unified treatment is developed for the XXX-Heisenberg model and a long-ranged interaction model (the $H_2$ in Haldane-Shastry model) from the point of view of shift operators (or raising and lowering operators), based on which the energy spectra of the spin-chain models are determined. Some physical discussions are also made.

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Dirk Schuricht

arXiv:0711.1531Journal of Physics A Mathematical and TheoreticalDec 12, 20076 citations

A unified treatment is developed for the XXX-Heisenberg model and a long-ranged interaction model (the

H_2

in Haldane-Shastry model) from the point of view of shift operators (or raising and lowering operators), based on which the energy spectra of the spin-chain models are determined. Some physical discussions are also made.

U_q(\hat{gl}_2)

-invariance. The spectrum of the Hamiltonians and the

U_q(\hat{gl}_2)

-representation content of their eigenspaces are found by a descent from the Dynamical Models.